Answer:
75-33=42
Step-by-step explanation:
total (75) minus what she already owns (33) leaves you with how much she still needs since they're each a dollar
1/6 + 1/12 = 1/4
If you need me to explain how I got the answer I am more than happy!
I hope this helps!
Answer: A. The value of his investment decreased by 16% during this time period.
Step-by-step explanation:
Here the initial amount = n
Final amount after 1 years = 0.84n
The total change in the initial amount = n - 0.84n = 0.16 n

= 
Thus, the amount is decreases by 16% in one year,
⇒ Option A is correct.
Answer:
720 cubic units
Step-by-step explanation:
Given:
In 1999, the number of mosquitos = 2500
They tripled every year.
To find:
The model for this situation and find the number of mosquitos in 2005.
Solution:
The general exponential modal is
...(i)
Where, a is the initial value and 0<b<1 is decay factor and b>1 is growth factor.
In 1999, the number of mosquitos is 2500.
Initial value: 
They tripled every year. So, growth factor is 3>1 and it is exponential growth.
Growth factor: 
Putting
and
in (i), we get
...(ii)
Here, y is the population of mosquitos after x year of 1999.
Therefore, the required exponential growth modal is
.
We know that,

Putting x=6 in (ii), we get



Therefore, the estimated number of mosquitos in 2005 is 1822500.